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Research Article | Open Access

Optimality conditions associated with new controlled extremization models

Financial Mathematics and Actuarial Science (FMAS)- Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, 21589-Jeddah, Saudi Arabia
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Abstract

Applying a parametric approach, in this paper we studied a new class of multidimensional extremization models with data uncertainty. Concretely, first, we derived the robust conditions of necessary optimality. Thereafter, we established robust sufficient optimality conditions by employing the various forms of convexity of the considered functionals. In addition, we formulated an illustrative example to validate the theoretical results.

Keywords

optimization problemrobust optimal solutionconvexityconcavitynecessary and sufficient conditions of optimality
CLC number: 26B25, 49J20, 90C17, 90C32, 90C46

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AIMS Mathematics
Volume 9 Issue 7,
July 2024
Pages 17319-17338
DOI: 10.3934/math.2024842

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Saeed T. Optimality conditions associated with new controlled extremization models. AIMS Mathematics, 2024, 9(7): 17319-17338. https://doi.org/10.3934/math.2024842

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Received: 13 March 2024
Revised: 14 April 2024
Accepted: 28 April 2024
Published: 15 July 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)